Free-agent relief pitcher Joel Zumaya, who missed the entire 2011 season with an elbow injury, has agreed to contract terms with the Minnesota Twins, who will pay him between $800,000 and $1.7 million, if he reaches all his incentive bonuses, MLB.com reported Sunday.

The Twins did not confirm a deal had been reached, but MLB.com is basing its report on what Zumaya told the website.

Zumaya chose the Twins over two other teams he was considering because the Twins offered guaranteed money rather than a Minor League contract with an invitation to Spring Training.

If he is healthy, Zumaya could help the Twins’ bullpen. He was 6-3 with a 1.94 ERA as a 21-year-old rookie with the Detroit Tigers, but he has been plagued by injuries since then.

He was 2-1 with a 2.58 earned run average for Detroit in 2010 before he fractured his elbow in June of that season. Zumaya underwent surgery to repair the fracture, a procedure that included inserting a screw to hold the elbow together. He had to undergo a follow-up surgery to replace the screw after experiencing pain in the elbow last spring.

Last month he threw for a number of teams that expressed interest in him, and he hit the mid-90s on the radar gun, according to MLB.com.